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10532312757 = 324128542853
BaseRepresentation
bin10011100111100011…
…00101011010110101
31000012000101220221200
421303301211122311
5133032233002012
64501040003113
7522000116121
oct116361453265
930160356850
1010532312757
11451524150a
12205b300499
13cbb077135
1471cb2a581
154199aa3dc
hex273c656b5

10532312757 has 12 divisors (see below), whose sum is σ = 15584398284. Its totient is φ = 6850284480.

The previous prime is 10532312741. The next prime is 10532312779. The reversal of 10532312757 is 75721323501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5133149316 + 5399163441 = 71646^2 + 73479^2 .

It is not a de Polignac number, because 10532312757 - 24 = 10532312741 is a prime.

It is a super-2 number, since 2×105323127572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532312797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14271058 + ... + 14271795.

It is an arithmetic number, because the mean of its divisors is an integer number (1298699857).

Almost surely, 210532312757 is an apocalyptic number.

It is an amenable number.

10532312757 is a deficient number, since it is larger than the sum of its proper divisors (5052085527).

10532312757 is a wasteful number, since it uses less digits than its factorization.

10532312757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28542900 (or 28542897 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 10532312757 in words is "ten billion, five hundred thirty-two million, three hundred twelve thousand, seven hundred fifty-seven".

Divisors: 1 3 9 41 123 369 28542853 85628559 256885677 1170256973 3510770919 10532312757